autoanalysis

The story

1. Englishauto-
2. Proto-Indo-European*h₂en-
3. Proto-Hellenic*aná
4. Ancient Greekᾰ̓νᾰ́ (ănắ)
5. Ancient Greekἀνα- (ana-)
6. Proto-Indo-European*lewh₁-
7. Ancient Greekλύω (lúō)
8. Ancient Greekἀναλύω (analúō)
9. Ancient Greekἀνάλυσις (análusis)
10. Medieval Latinanalysis
11. Englishanalysis
12. English todayautoanalysis

From auto- + analysis.